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Fab30403 - Modern Control Assignment 2 Deadline: 29 November 2019 Before 12 PM Name: Student ID

This document contains instructions for Assignment 2 of the FAB30403 - Modern Control course. It includes 4 questions related to obtaining state-space representations of systems in MATLAB, checking controllability and observability of systems, designing full-order observers, and designing observer controllers using pole placement. Students are asked to show calculations and use MATLAB functions like ts2ss, rank, and acker to solve the questions. The deadline for the assignment is November 29, 2019 before 12 pm.

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E-zat Ilman
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42 views2 pages

Fab30403 - Modern Control Assignment 2 Deadline: 29 November 2019 Before 12 PM Name: Student ID

This document contains instructions for Assignment 2 of the FAB30403 - Modern Control course. It includes 4 questions related to obtaining state-space representations of systems in MATLAB, checking controllability and observability of systems, designing full-order observers, and designing observer controllers using pole placement. Students are asked to show calculations and use MATLAB functions like ts2ss, rank, and acker to solve the questions. The deadline for the assignment is November 29, 2019 before 12 pm.

Uploaded by

E-zat Ilman
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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FAB30403 – MODERN CONTROL

Assignment 2

Deadline: 29th November 2019 before 12 pm


Name:
Student ID:

Question 1B-9-10pp720 :

Obtain a state-space representation of the following system with MATLAB.


(Hints: Use function ts2ss in your MATLAB script/coding.)

(15 marks)

Question 2B-9-13pp721 :

Consider the system defined by.

Is the system completely state controllable and completely observable? Show the
detail calculation to show the system is completely controllable and observable.
Using MATLAB script, show the rank of matrix of the system given. (Hints: Use rank
function in your MATLAB script)
(25 marks)
Question 3B-10-12 pp856 :

Consider the system defined by

Design a full-order observer based on given desired poles for the observer to be

Show detail calculation for method 1 and method 2. For method 3 use Ackermann
formula by using MATLAB script. (Hints: Use acker function in your MATLAB script)
(30 marks)

Question 4B-10-15 pp857 :

Using the pole-placement-with-observer approach, design observer controllers with a


full-order observer for the system shown in Figure 1.The desired closed-loop poles
for the pole-placement part are:
(Hints: Use acker function in your MATLAB script).

(30 marks)

Figure 1: Control system with observer controller in the feedforward path.

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